At 5 a.m., Ben and Paul left Park M and drove towards Park N at average speeds of 72 km/h and 57 km/h respectively. Upon reaching Park N, Ben rested for 3 hours. He then headed back for Park M at an average speed of 72 km/h along the same route. Ben and Paul met each other on their way at 1 p.m.
- How far had Ben covered when he met Paul on the way?
- How far apart were the two parks?
(a)
Time taken by Paul = 8 h
Time taken by Ben = 8 - 3 = 5 h
Distance covered by Ben when he met Paul
= 5 x 72
= 360 km
(b)
Distance travelled by Paul
= 8 x 57
= 456 km
Distance of the two parks
= (360 + 456) ÷ 2
= 816 ÷ 2
= 408 km
Answer(s): (a) 360 km; (b) 408 km